Calculating the p.d. Across EC - Get an Explanation

[cheekymonkey]

Homework Statement

What is the p.d. across EC?



Sorry about the bad drawing.

Homework Equations

The Attempt at a Solution

I know you need to split the 4 V into the 2 k ohms, 2 k ohms and 1 kilo ohm. The answer is 3 V. I'm not sure how to get this answer. Someone explain please?

 

[Feldoh]

What have you tried all ready? I'll help by saying that ruling out any voltage drop in the wire:

Voltage at A = Voltage at E = 4V

 

[cheekymonkey]

I'm really not sure. I've tried the V between C and D to be o.5 V and the V between E+F and F+G to be 1 V, but it doesn't work..

I've tried lots of other combinations too. Is there an easy way to calculate? I mean if I was in an exam this question would take me a while because all I am doing is guessing numbers.